Find each angle m1,m2,m3

Answer Angle 1= 97 angle 2= 83 and angle 3= 62

Step-by-step explanation:

To find angle one all you have to do is add your interior angles of the other triangle togther which always equals your exterior angle which is angle 1 making it equal to 97. To find angle 2 we know that the two angle are supplemetary meaning it doesn't matter what order they are in they always equal 180. to find the measure of angle 2 you subtract angle one 97 from 180 which equals 83 the measure of angle 2. Now to find the measure on angle 3 is the sum of the two other interior angles minus 180 degrees which is always the total sum of interior angles on a triangle.  83 plus 35 equals 118 which is the sum of the two know interior angles then you subtract that sum from 182 degrees equaling 62 degrees the measure of angle 3.

I hope this helps but don't know if this right.

i would need to see the dot plot : )

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4